Unit conversion practice problems - page 106 of 121
Number of problems found: 2418
- Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain?
- Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues
- Rectangle 4523
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl?
- Aquarium 3432
The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium?
- SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle A is 47°, find side a. Please round to one decimal.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- A trapezoid
A trapezoid is 75 ft wide on top, 85 ft on the bottom, and the height is 120 ft. What is its area in the square yds?
- Rainwater 83296
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12m wide and reports 50mm of rainfall?
- The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank?
- Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12cm and 1.6dm, the hypotenuse measures 200mm. The box is 34cm high. We pay 0,13 € per square meter of paper.
- Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing?
- Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- Sandbox
How many cubic meters of sand are needed to fill the sandbox on the field if it has the shape of a circle with a diameter of 3 m and is 25 cm deep?
- Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters.
- Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
- Equilateral 83322
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500kg/m³?
- Cylinder-shaped 22643
The cylinder-shaped container is filled with 80 l of water and is 70 cm high. Calculate the diameter of the bottom of the container.
- Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles.
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